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Simplifying 10 = 4(bt + 2b) Reorder the terms: 10 = 4(2b + bt) 10 = (2b * 4 + bt * 4) 10 = (8b + 4bt) Solving 10 = 8b + 4bt Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 10 + -8b = 8b + -8b + 4bt Combine like terms: 8b + -8b = 0 10 + -8b = 0 + 4bt 10 + -8b = 4bt Add '-4bt' to each side of the equation. 10 + -8b + -4bt = 4bt + -4bt Combine like terms: 4bt + -4bt = 0 10 + -8b + -4bt = 0 Add '-10' to each side of the equation. 10 + -8b + -10 + -4bt = 0 + -10 Reorder the terms: 10 + -10 + -8b + -4bt = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -8b + -4bt = 0 + -10 -8b + -4bt = 0 + -10 Combine like terms: 0 + -10 = -10 -8b + -4bt = -10 Reorder the terms: 10 + -8b + -4bt = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -8b + -4bt = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -4b + -2bt) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -4b + -2bt)' equal to zero and attempt to solve: Simplifying 5 + -4b + -2bt = 0 Solving 5 + -4b + -2bt = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4b + -5 + -2bt = 0 + -5 Reorder the terms: 5 + -5 + -4b + -2bt = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4b + -2bt = 0 + -5 -4b + -2bt = 0 + -5 Combine like terms: 0 + -5 = -5 -4b + -2bt = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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